The Golden Ratio, also known as the Golden Section, exists as a proportion of lengths. Calculated to be approximately 1.61803, the Golden Ratio is closely related to the Fibonacci numbers and other topics in mathematics such as the continued fraction. In addition to its relationship to the Fibonacci numbers, the Golden Ratio is closely connected to many geometric shapes including the regular pentagon, the regular pentagram, certain rectangles, and the dodecahedron. Often thought to have an aesthetically pleasing effect, the Golden Ratio can be found in objects in nature, paintings, music composition, and musical instruments.
Etheridge, Marjorie Rose E., "An Examination of the Golden Ratio in Nature and Music" (2015). Senior Independent Study Theses. Paper 6555.
Algebraic Geometry | Number Theory
Bachelor of Arts
Senior Independent Study Thesis
© Copyright 2015 Marjorie Rose E. Etheridge